What is the number of distinct terms in the expansion of p-q-r-s10 -A- none of theseB- 245C- 105D- 98E- 378

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What is the number of distinct terms in the expansion of $(p + q + r + s)^{10}$ ?

245

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105

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378

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none of these

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Solution

The correct option is E none of these
option (e)

The number of distinct terms = arrangement of 10 zeroes and 3 ones = $^{13} C_{3} = 286$

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What is the number of distinct terms in the expansion of (p+q+r+s)10?

The correct option is E none of theseoption (e) The number of distinct terms = arrangement of 10 zeroes and 3 ones = 13C3=286

What is the number of distinct terms in the expansion of $(p + q + r + s)^{10}$ ?

The correct option is E none of these
option (e)

The number of distinct terms = arrangement of 10 zeroes and 3 ones = $^{13} C_{3} = 286$